Answer:
(-6,9,-3)
Step-by-step explanation:
-3x -y +z=6
-3x-y+3z =0
x-3z =3
Multiply the second equation by -1
-1 *(-3x-y+3z) =0*-1
3x +y -3z =0
Add this to the first equation
-3x -y +z=6
3x +y -3z =0
----------------------
0 + 0 + -2z = 6
Divide by -2
-2z/-2 = 6/-2
z = 6/-2
z=-3
Take the third equation to find x
x-3z=3
x-3(-3) = 3
x+9=3
Subtract 9 from each side
x+9-9 =3-9
x=-6
Now we need to find y
3x +y -3z =0
3(-6) +y -3(-3) =0
-18 +y +9=0
-9+y =0
Add 9 to each side
-9+9+y = 0+9
y=9
(-6,9,-3)
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)The tree diagram is attached.
P(Ben Fails)=1-0.8=0.2
P(Tom Fails)=1-0.7=0.3
(b)Probability that both will pass their driving test.
P(both will pass)=0.8 X 0.7 =0.56
(c)Probability that only one of them will pass their driving test.
P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)
=(0.7 X 0.2)+(0.8 X 0.3)
=0.14+0.24
=0.38
Answer:
-4g^4 -3g^3 + 4g^2 +5g +3
Step-by-step explanation:
g^2 + -4g^4 +5g +9 -3g^3 + 3g^2 -6
-4g^4 -3g^3 + 4g^2 +5g +3
From the data shown in the scater plots, the points are scattered apart which means that r is not close to 1.
Also the data points increase to the right which means that r is positive.
Therefore, the estimate for r in the data shown in the scatter plot is 0.55
The answer is 1.
Rise over run :)
